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Finding the Fourth Proportional to 2,285.28, 3,427.85 and 898.22

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Solution

The fourth proportional to 2,285.28, 3,427.85 and 898.22 is: 1,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.28 : 3,427.85 = 898.22 : x
  2. Step 2: Convert to fraction form
    2,285.28/3,427.85 = 898.22/x
  3. Step 3: Cross multiply
    2,285.28x = 3,427.85 × 898.22
  4. Step 4: Simplify right side
    2,285.28x = 3,078,974.24
  5. Step 5: Solve for x
    x = 3,078,974.24/2,285.28
  6. Step 6: Final answer
    x = 1,347.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.